The linearized monotonicity method for elastic waves and the separation of material parameters
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917790771838976 |
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| author | Eberle-Blick, Sarah Pohjola, Valter |
| author_facet | Eberle-Blick, Sarah Pohjola, Valter |
| contents | We derive a linearized version of the monotonicity method for shape reconstruction using time harmonic elastic waves. The linearized method provides an efficient version of the method, drastically reducing computation time. Here we show that the linearized method has some additional advantages. The linearized method can in particular be used to obtain additional information on the material parameters, and is able to partially separate and identify the supports of the Lamé parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_20339 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The linearized monotonicity method for elastic waves and the separation of material parameters Eberle-Blick, Sarah Pohjola, Valter Analysis of PDEs Numerical Analysis 35R30, 35J05 We derive a linearized version of the monotonicity method for shape reconstruction using time harmonic elastic waves. The linearized method provides an efficient version of the method, drastically reducing computation time. Here we show that the linearized method has some additional advantages. The linearized method can in particular be used to obtain additional information on the material parameters, and is able to partially separate and identify the supports of the Lamé parameters. |
| title | The linearized monotonicity method for elastic waves and the separation of material parameters |
| topic | Analysis of PDEs Numerical Analysis 35R30, 35J05 |
| url | https://arxiv.org/abs/2409.20339 |